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Finding the Fourth Proportional to 171.06, 256.51 and 88.76

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Solution

The fourth proportional to 171.06, 256.51 and 88.76 is: 133.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.06 : 256.51 = 88.76 : x
  2. Step 2: Convert to fraction form
    171.06/256.51 = 88.76/x
  3. Step 3: Cross multiply
    171.06x = 256.51 × 88.76
  4. Step 4: Simplify right side
    171.06x = 22,767.14
  5. Step 5: Solve for x
    x = 22,767.14/171.06
  6. Step 6: Final answer
    x = 133.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.